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初一有理数题集

发布时间:2013-10-22 10:33:49  

2013初一年级有理数计算题集

使用说明:

? 有理数的计算是初中数学学习的敲门砖,谁做得好,谁就先起步。

? 本题集的制作初衷是为学生提供计算题目以便强化计算能力。

? 此题集共500道,1-445题为基本四则运算,建议每天做20道,如能保证答题准确率

在85%以上,说明计算能力比较过关。

? 446-500题为能力计算题目,涉及等差数列,等比数列,裂项等技巧,建议学完计算

1.2.3.4.5.6. 3412?(?)??(?5) 777

7. 11311[15-(1?+3)]?(?1) 24528

有理数计算 1

8. 11?(?5)?(?)?5 559. 11321?(???)?(?)

3211474216. (?6)?(?4)?(?32)?(?8)?3

1| 17. --(-)?|-2

71212

2 有理数计算

学而思初中优秀教学体系

18. (?9)?(?4)? (?60)?12 19. [(?9581)?1?]?(?) 147214220. ?|?3|?10?(?15)

?1 26. ?5?7??5?(?7)?(?243)?(?246) 27. 3?(?2)?(?1)?8?(?)??3?1 1

22

有理数计算 3

28. (?27912311)?9?(???)?(?24) 112341229. ?382794???(?)?(?3)

111011536. 42?(?)?(?)???0.25? 2

334

4 有理数计算

学而思初中优秀教学体系

37. [30?(?7

9511?)?(?36)]???5? 612

38. (?1)?(?)?(?2

734155)?(?)

14845. (?1)?(1?0.5)?41?[2?(?2)2] 346. (?2)2003?(?2)2002

有理数计算 5

47. (?0.25)2005?42004 48. ?0.5?2114??22?4?(?1)3? 42949. (?2)3?3?[(?4)2?2]?(?3)2?(?2)

56. 9+5?(?3)-(?2)2?4

57. (?5)3?[2?(?6)]?300?5 6 有理数计算

学而思初中优秀教学体系

58. -1?(1?)?1 2

32319

59. [12-4?(3?10)]?4 60. 2?(?3)3-4?(?3)+15

66. ?8?3?(?1)3?(?4)4 67. 4-5?(?) 1

23

有理数计算 7

68. 36?(?)2 1

213

69. ?2?443?(?)2

921?22?399?10076. ?1??1?2?

3?2?1??1 3?9

8 有理数计算

学而思初中优秀教学体系

77. ??12?4??3?10????(4?9)

4378. ?5? (?2)?24?(?2)

379. 24?16?

(?2)(??10)

85. 1?15?5?1?1?5?????2????? 27?7?2?2?786. (?2)2?(?1)3?3? [?1?(?2)]

有理数计算 9

87. 2?3?(?4)?(?9)?0 32

88. 4?5?(?) 1

23

3489. ?8?3?

(?1)?(?1)

95. ??370?????1??1??0.25?24.5????5??25% 4???2?96. 3???1? 3?

4?3?5?

10 有理数计算

学而思初中优秀教学体系

97. ?5??2??5???????????30? ?6?98. ??1?5?4???1.5?1

???12153??

????45????105. ?3.2???3????

??7??2??1?????2???????? 921?????3??

有理数计算 11

106. 49???4? 7

8

107. ???75?

1?

5?5?6?

113. ?????3 ?3212?7

114. ?????1?5?5?115?????2?1? 214???14?221412 有理数计算

学而思初中优秀教学体系

115. 4555?5???4?????? 279279?3?116. ???7?????1.75?

16??

123. ??5????4?

?1??2??4??13??1?????3????? 25??15??18?

有理数计算 13

124. 4???15?????1347????? ?620512?

125. ??111?1??1??1??1??1?11?1?1???????????????????????????

357?3??5??7??3??5?73?5?7132. 1?2??3????0.1????????? 4?3??4?

133. ?216?2?(?)

有理数计算 212214

学而思初中优秀教学体系

134. ??1??1???1??

?3?7?4?7?4?4??1 7?7

135. ??11??0.5???21??0.5???10??0.5

?

?2?3???1?2???1?3??)??() 142. ?1???(?172717?3?4?272?23

143. (1?3

4777?)?(?) 8128

有理数计算 15

144. (?7)2?41?(?30)?3?3.25 134145. -86+86?35.2?8.6?42 146. ?2009

?2007 152. (?3)?(?1)?(?4

7231) 15

153. ?81?27?63?18)(?(?9)16 有理数计算

学而思初中优秀教学体系

155. ?8?[?7??1??

?2??0.6????3?]

3?

162. 0.7?1?2???15??0.7?4

93451??(?15) 94

有理数计算

17

163. ?1?2?4

?558????60 615?

164. ??42??315?15??????

29?18?170. ?4?(?3)?(?3)?(?1) 6565

?171. (?1)3

4511?1? 662

18 有理数计算

学而思初中优秀教学体系

172. 1???1??(?)?(?0.6)?3 2?

3?2?5?4345173. ?713144?1?2?3?2??

555555179. ??0.25?(?4)?9 6

180. (?)?(?3) 5

613

有理数计算 19

181. (?3)?(?1)?(?14

7231) 14

182. (?)?(?)?(?1)?(?1)?(?1)

1

223141345?(?)?(?)?(?) 189. ?(?)1

6141312190. ?3?2?(?2)?3?48???2??(?2) 23620 有理数计算

学而思初中优秀教学体系

192. (?)?(?3)?(?1)?(?2)

5

645

199. ?8?(?5)?63

200. 4?5?(?) 1

23

有理数计算

21

201. (?)?(?)?(?4.9)?0.6 2

556202. (?10)?5?(?)

22

5

209. (?50)?(?21) 510210. (?16?50?3)?(?2) 22 有理数计算 25

学而思初中优秀教学体系

211. (?6)?8?(?2)3?(?4)2?5 212. (?)?1

22122?(??2)

233

19971

219. (?5)?(?3)?(?7)?(?3)?12?(?3) 6

76767

220. (?)?(?4)?0.25?(?5)?(?4)

有理数计算 582323

222. (?2)?(?)?(?)

32

323

23

229. ?2?(?)?(?0.8) 21

223

24

有理数计算

学而思初中优秀教学体系

230. ?3?(?)?(?2)?(?) 21

3231

22

231. (?)?(?3

422?1)?0

3

238. (?8)?(?25)?(?0.02) 239. (?1557??)?(?72) 29612

有理数计算 25

240. (?2)?(?) 11

32

241. 11?(?4)2?(?)

22

248. 2113??(?)?(?1) 3838

249. (?5.54)?(?3.2)?(?2.5)?4.8 有理数计算 26

学而思初中优秀教学体系

250. 9?5?(?3)?(?2)2?4 251. (?1)?(?5)???(?3)?2?(?5)?? 32252. ?23?(?2)2?(?1)?(?2)4?(?2)3

258. (?5.5)?3.2?4.5?6.8 259. 8?(?)?(?4)?(?)?(?8)?2

5293 5

有理数计算 27

260. (?13)?(?134)?11?(?) 1367

752242261. ???5??4???3???(?)???7?

??811

8248268. (?0.5)?(?3)?6.75?51

41 2

269. (?6)?(?4)?(?32)?(?8)?3 28 有理数计算

学而思初中优秀教学体系

270. (?5)?(?16)?(?2) 1

3

271. (?2)?(?8)?(?)?(?2)

41

232

278. ?2?(?)?(?0.8) 21

223

279. ?1?(3

5751?)?2 32162

有理数计算 29

280. ?32?(?)2?(?2)3?(?)2 1

312

281. (?2)2?(?3)3?(?1)3?(?3)3 282. ?2?(?)?(?)?(?2)

31

21

33

288. (?3)?[?225?(?)] 39289. 8?(?3)2?(?2) 30 有理数计算

学而思初中优秀教学体系

290. 100?(-2)-(-2)?(-) 22

3

291. -3?2?(-)

41

3232

298. ?2?342?(?)3 93299. ?0.25?(?0.5)?(?)?(?1) 2311

8210

有理数计算 31

300. (?2)4?(?8)?(?)3?(?22) 1

2

222?301. ?(?5)?4?(?3)???(?75)?(?7)4

811

308. ?11??(39?8) 309. ?9?5?(9?45) 310. ?5.6?4.7?|?3.8?3.8 |32 有理数计算

学而思初中优秀教学体系

311. 21?(?36)?(?16)?(?45)?(?10) 1

227123757312. 5211?(?)?(?2)?(?4)

319152319. (?5)?(?) 33

52

320. 5?(?6)?(?4)2?(?8)

有理数计算 33

321. 2?(?)?(?2) 1

46712322. (?16?50?3)?(?2)

2

5

329. (?)?(?3

422?1)?0 3330. ?1?(1?0.5)??[2?(?3)] 34 有理数计算 4132

学而思初中优秀教学体系

331. ?5?[?4?(1?0.2?)?(?2)] 21

5

332. (?5)?(?3)?(?7)?(?3)?12?(?3)

6

76767

339. (?1155)?[(?11)?3?(?5)]

1?1??3?340. ?0.252?????(?1)99??1?2?3.75??24 3?2??8?4

有理数计算 35

341. 1?314334 ???113411

342. ?1???????11?3?

3?4???13????

34?

1??43348. ?1???????(?1) ???2???

349. 1?0.2???3?4??3?

??2???5.3?? ?5??

36 有理数计算

学而思初中优秀教学体系

350. ?3?(?3)?(?5)???222?4?2??(?0.3)??0.9 ?5?

231??2?1?1?4?351. 1??3???????1???????

2????3??4?2?

357. ?23?3?(?1)3?(?1)4

358. ?3???5??1?0.2???(?2)? ?

???3?5???

有理数计算 37

359. ?2?(?17)??1??

?1??(?0.6)? 4?

360. ?1???1?(1?0.64?32)??

23

32366. 1???3??(?50)???2???1? 7?3??4??8?367. ??115723????????48? 126824??

38 有理数计算

学而思初中优秀教学体系

368. ???4?5??3??5?52??????2 ?????7?23??7??23?237369. ??1999?

?1997?????666?

1998?

1?7?2000????(?4.5)??(?1)76?18??2 375. 1?8??3??5?1999??13????1????3?????3???4??16?

有理数计算 39

376. 57?(?57) 58

377. ?451???44?

43

22????4111???1?????32384. ??3???1??2?0.125????1??????2?????1? ?2322????????????2??

40 有理数计算

学而思初中优秀教学体系

311?3?23?10.125????12?4?385. 11001??1??11?64

386. (0.125)1995?[(?2)1995]3

393. 1?111??...? 1?21?2?31?2?3?100

394. 987654321?987654324?987654323?987654322

有理数计算 41

395. 1121231299?(?)?(??)?...?(??...?) 233444100100100396. ?1352?(?)?(?)?

2463

403. (?125)?(?)?62?3

733?187?(?) 77

404. 22837?(?2)??(?1)?0.5?2? 552142

42 有理数计算

学而思初中优秀教学体系

405. 25?311?(?25)??25? 424406. 8?(?4)?23?3 407. 7?32?3?(?3)2

414. ?23?(?2)2?(?1)?(?2)4?(?2)3 415. (?1)?(?5)???(?3)?2?(?5)?? 32

有理数计算 43

416. ?135?(?1)?8?6.75 12412417. ?5??(?2)?(1?0.8?)??1?1?

42?

?33?

?

424. 7?(1?1?3)?(?2) 1

91218141444 有理数计算

学而思初中优秀教学体系

425. ??3?2?(?4)??(14?

?41

4??99?16) 1313??1?3?1?3?22426. ??2????1???(5?5?3?3)

???2??2???

433. –3?[4?(4?3.5?1)]?[?2?(?3)] 434. ?3.5?7.75?4.25??1.1

有理数计算 45

435. 516?1211??(?)??|??(?2)3|?(?2)??(|?(?)2|)? 211?4332?436. 0.125?(?3)?(?3)?(?)?(?0.25)

1

41818

443. 11111111????????? 42648620102008444. (1111?1)?(?1)?(?1)???(?1) 200920082007100046 有理数计算

学而思初中优秀教学体系

445. 19?(?7)?128?(?7)?33?(?7)

446. 11111???? 1?22?33?44?55?6

111??......

?447. 453. 3245671?????? 2?55?77?1111?1616?2222?2929

11111111??????)?128 454. (?8244880120168224288

有理数计算 47

11111111?????455. ?? 612203042567290

456. 1?111111?????

3610152128

11111111111224463. ???? 26153577

1111111??464. ???? 315356399143195

48 有理数计算

学而思初中优秀教学体系

15111929??465. ???26122030?97019899? 97029900

466. 11??1?2?32?3?4?1

7?8?9

473. 57??1?2?32?3?4?19 8?9?10

(474. 1155?57??2?3?43?4?5?1719?) 8?9?109?10?11

有理数计算 49

475. 345???1?2?4?52?3?5?63?4?6?7?12 10?11?13?14

1234???476. ?22?32?3?42?3?4?5?9

2?3?4?10

123456

481. 1?23??1?(1?2)(1?2)?(1?2?3)?(1?2?3?10?9)?(1?2?3??10)

482. 111111?2?2?2?2?2 3?15?17?19?111?113?12

50 有理数计算

学而思初中优秀教学体系

483. (1?1111)?(1?2)?(1?2)?(1?2)?22345?(1?11)?(1?2) 24849484. 357???12?2222?3232?42?15

72?82

2222212379111725???491. ???? 3571220283042

111112010263827???????492. ?? 2330314151119120123124

有理数计算 51

??3549637791105?3?1????493. ?????1?? 61220304256??8?8?

494. 1?5791113151719???????

612203042567290

52 有理数计算

参考答案

1. 2. 3. 4. 5. 6. 7.

8.9.29. 30. 31. 32. 33.

4? 585? 84599

?1056 0.4 14 27 1114 110211 3154000 5? 6711 8

34. 435. 36. 37. 38. 39. 40. 41. 61. 62. 63. 64. 65.

10 1345 4?25 ?11 ?1 13 6?52 0 1 61? 281? 1651 853? 20

66. ?261 67. 4

5 8

68. 1

69. ?81 70. 71. 72. 73. 92. 93. 94. 95. 96. 97.

23 96 ?4

1?2 2?51 41

--25 2

100 ?6 ?250 298.

999. 5.03 100. 0

101. ?899.5

有理数计算

53

102. 1.995 103. ?40 104. 35.3

131. ?29

64 45106. ?199.5

1

107. ?15

6

108. 1245

2004

109. ?2004

124. 6 125. 0 126. 64

5127. ?

24128. ?486 129. 0.85

27130. ?

16

105. ?54

有理数计算

61 1827133. ?

2134. 3 135. ?1

44136.

1539137. ?

132. ?3

155. 57

525156. ?

1214157. ?

1529158. 2

36159. ?0.4

3 41

161. ?10

3

162. ?43.6 163. ?94

1

164. ?11

3

165. 1 166. 24.5

182. ?1 183. 0 184. ?4.48 185. 261 186. ?10.08 187. 3.47 188. ?8.75

1189.

4190. 46

160. ?6

学而思初中优秀教学体系

3 5192. 1

13193.

121194. 11

6195. ?90 196. ?18

1215.

161216.

6217. 1

13

218. ?20

25

219. 0 220. ?90

191. 3 4222. 12

3223.

2224. ?85

1

225. ?2

2

226. 8 227. 22

247. ?50

1248. ?

2

249. ?11.04 250. ?7 251. ?5 252. ?10 253. ?1060

221. ?

254. ?8 255. ?1 256. 6

13

14 27258. 13

8

259. ?8

9

260. ?2 643279.

50280. 31 281. 4

8

282. ?72

27

283. 24 284. 25 285. ?16

257.

有理数计算

55

1 5287. ?85 288. ?11 289. ?10 290. 22

108291. ?

7

292. ?342

1

293. ?

315.

19995316. 4

81317. 3

15318. ?8 319. ?45 320. ?28

286. 2

9 7322. 31.3 323. ?120 324. ?90

3325. ?

41326. ?

125345.

91

346. ?3

2

347. ?9

1348.

82349.

25350. ?38.1

321.

351. ?1.5 352. 2.94 353. ?0.3

20 31

355. ?85

61356.

6357. ?6

354. ?2

1

376. ?56

581377. 1

43378. 152 379. ?900 380. 199000 381. 0 382. 1

56

有理数计算

学而思初中优秀教学体系

383. 0

5 125385.

204386. ?1

25387. ?

36189388.

8

407. 30 408. 13

384. 2456. 原式?1?

409. 9 410. ?17

435. 72436.

5 241

412. ?2

32413. ?

3414. ?10 415. ?5

85434.

11

411. 1

?

13 44

1 85437. ?

459438. ?

6439. 3 440. ?8 111???1?21?2?31?2?3?4222?1????

2?33?47?8

11??11111

?2?????????

78??22334

?1?7?2??1???

?8?4

1

1?2?3?4?5?6?7

有理数计算

57

457. 1 10

11111???? 2?55?88?1111?1414?17

1?1111111111?????????????? 3?255881111141417?458. 原式?1?11?5?????? 3?217?34

459. 原式?

1??11??11?????????4???1?33?5??3?55?7?11????????

?2001?20032003?2005??111111111????????? 2233557711

110?1?? 1111

1111111??????464. 原式? 1?33?55?77?99?1111?1313?151?11?1?11?1?11????????????????? 2?13?2?35?2?1315?58 有理数计算

学而思初中优秀教学体系

?1?11?7????? 2?115?15

1?1??1??1???465. 原式??1????1????1?????1?? ?2??6??12??9900?

11?1??99?????? 1?22?399?100??

11??111?99??1??????? 99100??223

1

??3?23?43?16???473. 原式? 1?2?32?3?48?9?10

1128?1??1??3??????????2??? 1?2?32?3?48?9?101?2?32?3?48?9?10????

1?111111?11??1?3??????????2??????? 2?1?22?32?33?48?99?10?9?10??2?33?4

?3?11??1111?????2??????2?1?29?10??2334?11??? 910?

有理数计算 59

3?11?71123?11??????2???? ??? ? 2?290?460515?210?571719????474. 2?3?43?4?58?9?109?10?11

2?33?49?10???? 2?3?43?4?59?10?11

111111??????? 3?42?44?53?510?119?11

11??111??1????????????

3?44?510?112?43?59?11?????

????? 22?32?3?42?3?4?10

1111111?1???????? 222?32?32?3?42?3?4?92?3?4?9?10

13628799?1?? 2?3?4?9?103628800

13?14?15?16?17?1?????477. 原式? 1?21?2?31?2?3?41?2?3?4?51?2?3?4?5?61?2?3?4?5?6?7111111??????? 1?21?21?2?31?2?31?2?3?41?2?3?4?5?6?7

有理数计算 60

学而思初中优秀教学体系

111?? 1?21?21?2?3?4?5?6?7

15039?1?? 50405040

2399???478. 原式? 1?2?31?2?3?41?2?3??100

3?14?1100?1???? 1?2?31?2?3?41?2?3??100

111111?

?????? 1?21?2?31?2?31?2?3?41?2?3??991?2?3??10011

111324485015025??? 原式???????2233494924949

22?1232?2242?3282?72

484. 原式?22?22?22??22 1?22?33?47?8

1111111?1?2?2?2?2?2??2?2 2233478

163?1?2? 864

2??2??2?22??????1?485. 原式??1?2???1?2???1?2????1???? 22?3?1??5?1??7?1??1993?1??1995?1??

有理数计算 61

22?2??997?????? 1994?1996??2?44?611??1111?997????????? 19941996??2446

1?997?1?997??? ??9971996?21996?10420434412?321022?422032?5234?2,?2, 486. 2?,2??,……由于?2,,2881515332?133?184?1154444?22?22??22

可见原式?222?13?14?199?1

1231111112113491. 原式????????????? 3573445475667

3?1111??212??313??111?????????????????????? ?3 4?3366??555??777??444?

11111?11??11??11??11??11??????????????????????? 492. 原式???23303141?317??717??430??341??431?11111111????????2 23374347

62 有理数计算

学而思初中优秀教学体系

??579111315?3??????7?1??8 493. 原式?????8???61220304256?

??1111?????????2334?11?11????7???8 78?8?11?11??????7?8??8 8?28?

?21?11?10

2?33?44?55?66?77?88?99?10???????494. 原式?1? 2?33?44?55?66?77?88?99?101111111111111111

1??111?11?1?11?1????????????2??????? 2424352526284850??????

?11?????24

?11?????24

?11?????24??1??11????24??351??11????12??35??1??11?????25??13141??11??2????11??1416?1?1?? 24?50?1?11? ??24?5025?1??11????12??35?1??11?????11??78?1?11?? ?12?5025

有理数计算 63

1?111??11??111?1??????????2??????? ?246??35??81012?5025

1?111??11??111?1???????????????? ?246??35??456?5025

1149?1??? 502550

3?15?17?113?1????499. 原式? 33?53?5?73?5?7?9?11?131111?1??1???1??????????

3?5?7?9?11??33?53?5?7?9?11?13??33?5

64 有理数计算

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